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JEE Main & Advanced Mathematics Straight Line Question Bank Angle between two straight lines, Bisector of angle between two lines

  • question_answer
    If the line \[2x+3ay-1=0\] and \[3x+4y+1=0\] are mutually perpendicular, then the value of a will be                 [MNR 1975]

    A)            \[\frac{1}{2}\]                          

    B) 2

    C)            \[-\frac{1}{2}\]                        

    D) None of these

    Correct Answer: C

    Solution :

               \[\left( \frac{-2}{3a} \right)\text{ }\left( \frac{-3}{4} \right)=-1\]or\[a=\frac{-1}{2}\].


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